Classify the quadrilateral using the name that best describes it.
• parallelogram
• rectangle
• square
• trapezoid
parallelogram
To classify a quadrilateral, you need to consider its properties. Here are the definitions of the four options:
1. Parallelogram: A parallelogram is a quadrilateral with opposite sides that are parallel.
2. Rectangle: A rectangle is a parallelogram with four right angles (90 degrees).
3. Square: A square is a special case of a rectangle where all four sides are equal in length.
4. Trapezoid: A trapezoid is a quadrilateral with exactly one pair of parallel sides.
Based on these definitions, you can classify the quadrilateral by checking the properties it possesses.
To classify a quadrilateral, you need to examine its properties and compare them to the definitions of various quadrilateral types. Here's how you can determine the correct classification for the given options:
1. Parallelogram: A parallelogram is a quadrilateral with opposite sides that are equal in length and parallel to each other. Check if the given quadrilateral has these properties. If it does, it can be classified as a parallelogram.
2. Rectangle: A rectangle is a quadrilateral with four right angles. Verify if all angles of the given quadrilateral are right angles. If they are, it can be classified as a rectangle. Note that a rectangle is also a parallelogram.
3. Square: A square is a quadrilateral with four congruent sides and four right angles. Check if all sides of the given quadrilateral are equal and if all angles are right angles. If both conditions are met, it can be classified as a square. Note that a square is also a rectangle and a parallelogram.
4. Trapezoid: A trapezoid is a quadrilateral with at least one pair of parallel sides. Examine the given quadrilateral to see if it has only one pair of parallel sides. If it does, it can be classified as a trapezoid.
By comparing the properties of the given quadrilateral to the definitions of these types, you should be able to identify the correct classification.